Hi

n is positive and m is negative, n + (-m) is positive (-(negative m) is positive)

n is positive and m is negative, -n + m is negative

|n| = |m|, n is positive, and m is negative. -n + (-m) is zero

n=m, and n and m are both the same sign. n + (-m) is zero 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 Tell whether each sum is POSITIVE, NEGATIVE, OR ZERO. Explain your reasoning. 

n is positive and m is negativem n + (-m) is ___ ?

If m is negative, -m is positive.

positive + positive = POSITIVE

------------------------------------

n is positive and m is negative, -n + m is ____?

If n is poitive -n is negative

negative + negative = NEGATIVE

------------------------------------

|n| = |m|, n is positive, and m is negative. -n + (-m) is ____?

If n is positve -n is negative

If m is negative -m is positive

Since |n|=|m|, m is the negative of n

So, -n + (-m) = -n+(--n) = -n+n = ZERO

--------------------------------------------

n=m, and n and m are both the same sign. n + (-m) is ____?

ZERO

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Cheers,

Stan H.

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